SSC CHSL 2021 PYQ — Question 69

SSC CHSL - 16 April 2021 - Shift 3 • Quantitative Aptitude • Q69

ΔABC is right-angled at B and D is a point on AC such that BD is perpendicular to AC. If BD = 6 cm and AD = 3 cm, then what will be the length of AC?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 15 cm

Given that

As we know the right angled triangle theorem 

BD2 = AD * DC = 3 * DC

62 =  3 * DC

DC = 36/3 = 12 cm

Hence,  AC = AD + DC = 3 + 12 = 15 cm